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Published in 2018 at "Siberian Mathematical Journal"
DOI: 10.1134/s0037446618050129
Abstract: We consider the automorphisms of formal matrix algebras over a given commutative ring. In some cases the automorphism group of these algebras is a semidirect product of certain subgroups whose structure is known.
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Keywords:
formal matrix;
matrix algebras;
automorphisms formal;
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Published in 2023 at "Mathematics"
DOI: 10.3390/math11071720
Abstract: We consider the isomorphism problem for formal matrix rings over a given ring. Principal factor matrices of such rings play an important role in this case.
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Keywords:
isomorphism problem;
matrix rings;
formal matrix;